A radar pulse sent out to an airplane at a distance of 24.1 km will return as an echo to the source in what time interval? (c = 3.00 × 10⁸ m/s) A) 33.3 × 10−⁶ s B) 80 × 10−⁶ s C) 161 × 10−⁶ s D) 40.2 × 10−⁶ s E) 482 × 10−⁶ s

Question

Quizplus · Accepted Answer

The time interval for the echo to return can be found by using the equation:

distance = speed x time

Rearranging this equation gives:

time = distance / speed

Substituting the given values:

time = 24.1 km / (3.00 x 10^8 m/s)

We need to convert km to m, so:

time = 24.1 x 10^3 m / (3.00 x 10^8 m/s)

Simplifying this expression:

time = 0.08033333333 s

Rounding to the nearest integer, we get:

time = 0.08 s = 80 x 10^-9 s = 80 x 10^-16 s

Therefore, the best choice is C: 161 x 10^-16 s, since it is the closest integer approximation to the calculated value of 80 x 10^-16 s.

A Radar Pulse Sent Out to an Airplane at a Distance